A convexity theorem for torus actions on contact manifolds
| dc.creator | Lerman, Eugene | |
| dc.date | 2000-12-04 | |
| dc.date | 2001-03-06 | |
| dc.date.accessioned | 2026-07-07T04:39:00Z | |
| dc.date.available | 2026-07-07T04:39:00Z | |
| dc.description | We show that the cone associated with a moment map for an action of a torus on a contact compact connected manifold is a convex polyhedral cone and that the moment map has connected fibers provided the dimension of the torus is bigger than 2 and that no orbit is tangent to the contact distribution. This may be considered as a version of the Atiyah - Guillemin - Sternberg convexity theorem for torus actions on symplectic cones and as a direct generalization of the convexity theorem of Banyaga and Molino for completely integrable torus actions on contact manifolds. | |
| dc.description | 10 pages. v2: minor changes, two references added | |
| dc.identifier | https://arxiv.org/abs/math/0012017 | |
| dc.identifier | http://arxiv.org/abs/math/0012017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60498 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | A convexity theorem for torus actions on contact manifolds | |
| dc.type | text |